FUNDAMENTAL CONCEPTS FOR ADVANCED MATHEMATICS
MATH 233-- FALL 2006
Course Outline



I     SCHEDULE: Tu Th 11:00-12:15 pm     LOCATION: LA5-169     SCHEDULE CODE: 8443 

II     INSTRUCTOR: S. Watson
            OFFICE: FO3-200   OFFICE PHONE: 562-985-5784   
            OFFICE HOURS:  Tu Th 10:00-11:00 a.m., 5:30-6:30 p.m., and W 11:00-1:00 p.m.
            E-MAIL: saleem@csulb.edu   WEBSITE:  www.csulb.edu/~saleem

III    TEXTBOOK: A Transition to Advanced Mathematics, 6/e, by Smith, Eggen, and St. Andre.

VI    PREREQUISITES: MATH 123 or 222

V    COURSE CONTENT AND OBJECTIVES: We will cover Chapters 1–5 (and parts of Chapters 6 and 7 as time permits). This course is an introduction to advanced mathematics. Mathematicians use inductive reasoning (using observations to formulate a general theory) to discover patterns, but it is deductive reasoning (using logic to draw conclusions based on accepted assumptions) that characterizes the way mathematics is written and communicated. In this course we study the structure of deductive reasoning in various mathematical contexts including: set theory, functions, relations, induction and recursion, counting, congruence, and number theory.

VI    ASSIGNMENTS: Homework assignments are the core of this course, so you are urged to do them diligently. Late assignments will not be accepted.

VII    TESTS: There will be three tests and a comprehensive final exam. Test dates and topics are tentative.

TEST 1

Tu

  September 26

  Chapters 1-2

TEST 2

Tu

  October 24    

  Chapter 3-4.2

TEST 3

Tu

  November 21

  Chapter 4.3-5.5

FINAL

Th

  December 21 (10:15-12:15 pm)

  Cumulative

You must be present for all tests and exams. In general, no make-up exams will be given except for serious and compelling reason.

VIII  GRADING: Grades will be based on homework, tests, and the final exam. Marks will be distributed as
follows: 

  QUIZZES & HOMEWORK    15%
  TESTS       60%
  FINAL EXAM   25%

Letter grades will be assigned as follows: 100%-90% A, 89%-80% B, 79%-65% C, 64%-50% D.

IX    DEADLINES: The deadline for withdrawing from this course without a W on your record is Monday, September 11. Withdrawals after this deadline and before Friday, November 17 are permitted for serious and compelling reasons only and require the approval of the Chair of the Department of Mathematics. A copy of the withdrawal policy for the College of Natural Sciences and Mathematics is available at the Department Office.

X    OTHER REGULATIONS: 1. The instructor should be notified in advance by the student of the need for accommodation of a university verified disability. 2. Please refer to the "General Regulations and Procedures" in the Catalog for other policies governing standards of conduct at the university.